A+B+C=0 1/A+1 + 1/B+2 + 1/C+3 =0 求 (A+1)^2 + (B+2)^2 + (C+3)^2 =?《(A+1)^2》 2是平方的意思呢
由1/(a+1)+1/(b+2)+1/(c+3)=0 可得到 (a+1)*(b+2)+(a+1)*(c+3)+(b+2)*(c+3)=0 a+b+c=0 ->a+1+b+2+c+3=6 -> a+b+c+6=6 所以:(a+1+b+2+c+3)^2=6^2=36=(a+1)^2+(b+2)^2+(c+3)^2+2[(a+1)*(b+2)+(a+1)*(c+3)+(b+2)*(c+3)]=a+1)^2+(b+2)^2+(c+3)^2+0= ?
答案是36.









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